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Simplifying 0.3(6x + -15) = 0.5(10x + -4) Reorder the terms: 0.3(-15 + 6x) = 0.5(10x + -4) (-15 * 0.3 + 6x * 0.3) = 0.5(10x + -4) (-4.5 + 1.8x) = 0.5(10x + -4) Reorder the terms: -4.5 + 1.8x = 0.5(-4 + 10x) -4.5 + 1.8x = (-4 * 0.5 + 10x * 0.5) -4.5 + 1.8x = (-2 + 5x) Solving -4.5 + 1.8x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4.5 + 1.8x + -5x = -2 + 5x + -5x Combine like terms: 1.8x + -5x = -3.2x -4.5 + -3.2x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -4.5 + -3.2x = -2 + 0 -4.5 + -3.2x = -2 Add '4.5' to each side of the equation. -4.5 + 4.5 + -3.2x = -2 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -3.2x = -2 + 4.5 -3.2x = -2 + 4.5 Combine like terms: -2 + 4.5 = 2.5 -3.2x = 2.5 Divide each side by '-3.2'. x = -0.78125 Simplifying x = -0.78125
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